Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(1,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | 4.4.4400.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 7x^{2} + 11 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(-2.14896\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 125.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32813 | 0.939130 | 0.469565 | − | 0.882898i | \(-0.344411\pi\) | ||||
0.469565 | + | 0.882898i | \(0.344411\pi\) | |||||||
\(3\) | 2.14896 | 1.24070 | 0.620352 | − | 0.784324i | \(-0.286990\pi\) | ||||
0.620352 | + | 0.784324i | \(0.286990\pi\) | |||||||
\(4\) | −0.236068 | −0.118034 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.85410 | 1.16518 | ||||||||
\(7\) | −3.47709 | −1.31422 | −0.657109 | − | 0.753796i | \(-0.728221\pi\) | ||||
−0.657109 | + | 0.753796i | \(0.728221\pi\) | |||||||
\(8\) | −2.96979 | −1.04998 | ||||||||
\(9\) | 1.61803 | 0.539345 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | −0.507301 | −0.146445 | ||||||||
\(13\) | −2.65626 | −0.736715 | −0.368357 | − | 0.929684i | \(-0.620080\pi\) | ||||
−0.368357 | + | 0.929684i | \(0.620080\pi\) | |||||||
\(14\) | −4.61803 | −1.23422 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.47214 | −0.868034 | ||||||||
\(17\) | 4.29792 | 1.04240 | 0.521200 | − | 0.853435i | \(-0.325485\pi\) | ||||
0.521200 | + | 0.853435i | \(0.325485\pi\) | |||||||
\(18\) | 2.14896 | 0.506515 | ||||||||
\(19\) | 7.23607 | 1.66007 | 0.830034 | − | 0.557713i | \(-0.188321\pi\) | ||||
0.830034 | + | 0.557713i | \(0.188321\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −7.47214 | −1.63055 | ||||||||
\(22\) | 2.65626 | 0.566317 | ||||||||
\(23\) | −0.820830 | −0.171155 | −0.0855775 | − | 0.996332i | \(-0.527274\pi\) | ||||
−0.0855775 | + | 0.996332i | \(0.527274\pi\) | |||||||
\(24\) | −6.38197 | −1.30271 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.52786 | −0.691871 | ||||||||
\(27\) | −2.96979 | −0.571537 | ||||||||
\(28\) | 0.820830 | 0.155122 | ||||||||
\(29\) | 0.854102 | 0.158603 | 0.0793014 | − | 0.996851i | \(-0.474731\pi\) | ||||
0.0793014 | + | 0.996851i | \(0.474731\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.00000 | 0.359211 | 0.179605 | − | 0.983739i | \(-0.442518\pi\) | ||||
0.179605 | + | 0.983739i | \(0.442518\pi\) | |||||||
\(32\) | 1.32813 | 0.234783 | ||||||||
\(33\) | 4.29792 | 0.748172 | ||||||||
\(34\) | 5.70820 | 0.978949 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.381966 | −0.0636610 | ||||||||
\(37\) | −1.64166 | −0.269887 | −0.134944 | − | 0.990853i | \(-0.543085\pi\) | ||||
−0.134944 | + | 0.990853i | \(0.543085\pi\) | |||||||
\(38\) | 9.61045 | 1.55902 | ||||||||
\(39\) | −5.70820 | −0.914044 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.09017 | −0.951125 | −0.475562 | − | 0.879682i | \(-0.657755\pi\) | ||||
−0.475562 | + | 0.879682i | \(0.657755\pi\) | |||||||
\(42\) | −9.92398 | −1.53130 | ||||||||
\(43\) | −3.79062 | −0.578064 | −0.289032 | − | 0.957319i | \(-0.593333\pi\) | ||||
−0.289032 | + | 0.957319i | \(0.593333\pi\) | |||||||
\(44\) | −0.472136 | −0.0711772 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.09017 | −0.160737 | ||||||||
\(47\) | −0.507301 | −0.0739974 | −0.0369987 | − | 0.999315i | \(-0.511780\pi\) | ||||
−0.0369987 | + | 0.999315i | \(0.511780\pi\) | |||||||
\(48\) | −7.46149 | −1.07697 | ||||||||
\(49\) | 5.09017 | 0.727167 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 9.23607 | 1.29331 | ||||||||
\(52\) | 0.627058 | 0.0869574 | ||||||||
\(53\) | −8.59584 | −1.18073 | −0.590365 | − | 0.807136i | \(-0.701016\pi\) | ||||
−0.590365 | + | 0.807136i | \(0.701016\pi\) | |||||||
\(54\) | −3.94427 | −0.536747 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 10.3262 | 1.37990 | ||||||||
\(57\) | 15.5500 | 2.05965 | ||||||||
\(58\) | 1.13436 | 0.148949 | ||||||||
\(59\) | −4.47214 | −0.582223 | −0.291111 | − | 0.956689i | \(-0.594025\pi\) | ||||
−0.291111 | + | 0.956689i | \(0.594025\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.09017 | 0.651729 | 0.325865 | − | 0.945416i | \(-0.394345\pi\) | ||||
0.325865 | + | 0.945416i | \(0.394345\pi\) | |||||||
\(62\) | 2.65626 | 0.337346 | ||||||||
\(63\) | −5.62605 | −0.708816 | ||||||||
\(64\) | 8.70820 | 1.08853 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 5.70820 | 0.702631 | ||||||||
\(67\) | 4.29792 | 0.525075 | 0.262537 | − | 0.964922i | \(-0.415441\pi\) | ||||
0.262537 | + | 0.964922i | \(0.415441\pi\) | |||||||
\(68\) | −1.01460 | −0.123039 | ||||||||
\(69\) | −1.76393 | −0.212352 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.18034 | 0.970828 | 0.485414 | − | 0.874284i | \(-0.338669\pi\) | ||||
0.485414 | + | 0.874284i | \(0.338669\pi\) | |||||||
\(72\) | −4.80522 | −0.566301 | ||||||||
\(73\) | 16.5646 | 1.93874 | 0.969372 | − | 0.245598i | \(-0.0789844\pi\) | ||||
0.969372 | + | 0.245598i | \(0.0789844\pi\) | |||||||
\(74\) | −2.18034 | −0.253459 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.70820 | −0.195944 | ||||||||
\(77\) | −6.95418 | −0.792503 | ||||||||
\(78\) | −7.58124 | −0.858407 | ||||||||
\(79\) | 2.76393 | 0.310967 | 0.155483 | − | 0.987839i | \(-0.450307\pi\) | ||||
0.155483 | + | 0.987839i | \(0.450307\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.2361 | −1.24845 | ||||||||
\(82\) | −8.08854 | −0.893230 | ||||||||
\(83\) | 5.11875 | 0.561856 | 0.280928 | − | 0.959729i | \(-0.409358\pi\) | ||||
0.280928 | + | 0.959729i | \(0.409358\pi\) | |||||||
\(84\) | 1.76393 | 0.192461 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.03444 | −0.542878 | ||||||||
\(87\) | 1.83543 | 0.196779 | ||||||||
\(88\) | −5.93958 | −0.633162 | ||||||||
\(89\) | −8.61803 | −0.913510 | −0.456755 | − | 0.889593i | \(-0.650988\pi\) | ||||
−0.456755 | + | 0.889593i | \(0.650988\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.23607 | 0.968203 | ||||||||
\(92\) | 0.193772 | 0.0202021 | ||||||||
\(93\) | 4.29792 | 0.445674 | ||||||||
\(94\) | −0.673762 | −0.0694933 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.85410 | 0.291296 | ||||||||
\(97\) | −11.2521 | −1.14248 | −0.571239 | − | 0.820784i | \(-0.693537\pi\) | ||||
−0.571239 | + | 0.820784i | \(0.693537\pi\) | |||||||
\(98\) | 6.76041 | 0.682905 | ||||||||
\(99\) | 3.23607 | 0.325237 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −11.0902 | −1.10351 | −0.551757 | − | 0.834005i | \(-0.686042\pi\) | ||||
−0.551757 | + | 0.834005i | \(0.686042\pi\) | |||||||
\(102\) | 12.2667 | 1.21459 | ||||||||
\(103\) | 12.8938 | 1.27046 | 0.635230 | − | 0.772323i | \(-0.280905\pi\) | ||||
0.635230 | + | 0.772323i | \(0.280905\pi\) | |||||||
\(104\) | 7.88854 | 0.773535 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.4164 | −1.10886 | ||||||||
\(107\) | −10.1177 | −0.978120 | −0.489060 | − | 0.872250i | \(-0.662660\pi\) | ||||
−0.489060 | + | 0.872250i | \(0.662660\pi\) | |||||||
\(108\) | 0.701073 | 0.0674607 | ||||||||
\(109\) | −12.5623 | −1.20325 | −0.601625 | − | 0.798778i | \(-0.705480\pi\) | ||||
−0.601625 | + | 0.798778i | \(0.705480\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.52786 | −0.334850 | ||||||||
\(112\) | 12.0729 | 1.14079 | ||||||||
\(113\) | −2.65626 | −0.249880 | −0.124940 | − | 0.992164i | \(-0.539874\pi\) | ||||
−0.124940 | + | 0.992164i | \(0.539874\pi\) | |||||||
\(114\) | 20.6525 | 1.93428 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.201626 | −0.0187205 | ||||||||
\(117\) | −4.29792 | −0.397343 | ||||||||
\(118\) | −5.93958 | −0.546783 | ||||||||
\(119\) | −14.9443 | −1.36994 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 6.76041 | 0.612059 | ||||||||
\(123\) | −13.0875 | −1.18006 | ||||||||
\(124\) | −0.472136 | −0.0423991 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −7.47214 | −0.665671 | ||||||||
\(127\) | 18.7136 | 1.66056 | 0.830281 | − | 0.557344i | \(-0.188180\pi\) | ||||
0.830281 | + | 0.557344i | \(0.188180\pi\) | |||||||
\(128\) | 8.90937 | 0.787485 | ||||||||
\(129\) | −8.14590 | −0.717206 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −14.1803 | −1.23894 | −0.619471 | − | 0.785020i | \(-0.712653\pi\) | ||||
−0.619471 | + | 0.785020i | \(0.712653\pi\) | |||||||
\(132\) | −1.01460 | −0.0883098 | ||||||||
\(133\) | −25.1605 | −2.18169 | ||||||||
\(134\) | 5.70820 | 0.493114 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.7639 | −1.09450 | ||||||||
\(137\) | −14.9230 | −1.27496 | −0.637478 | − | 0.770469i | \(-0.720022\pi\) | ||||
−0.637478 | + | 0.770469i | \(0.720022\pi\) | |||||||
\(138\) | −2.34273 | −0.199427 | ||||||||
\(139\) | 8.29180 | 0.703301 | 0.351650 | − | 0.936131i | \(-0.385621\pi\) | ||||
0.351650 | + | 0.936131i | \(0.385621\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.09017 | −0.0918089 | ||||||||
\(142\) | 10.8646 | 0.911734 | ||||||||
\(143\) | −5.31252 | −0.444256 | ||||||||
\(144\) | −5.61803 | −0.468169 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 22.0000 | 1.82073 | ||||||||
\(147\) | 10.9386 | 0.902199 | ||||||||
\(148\) | 0.387543 | 0.0318559 | ||||||||
\(149\) | 19.2705 | 1.57870 | 0.789351 | − | 0.613942i | \(-0.210417\pi\) | ||||
0.789351 | + | 0.613942i | \(0.210417\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.1803 | 1.47950 | 0.739748 | − | 0.672885i | \(-0.234945\pi\) | ||||
0.739748 | + | 0.672885i | \(0.234945\pi\) | |||||||
\(152\) | −21.4896 | −1.74304 | ||||||||
\(153\) | 6.95418 | 0.562212 | ||||||||
\(154\) | −9.23607 | −0.744264 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.34752 | 0.107888 | ||||||||
\(157\) | −7.58124 | −0.605049 | −0.302525 | − | 0.953142i | \(-0.597829\pi\) | ||||
−0.302525 | + | 0.953142i | \(0.597829\pi\) | |||||||
\(158\) | 3.67086 | 0.292038 | ||||||||
\(159\) | −18.4721 | −1.46494 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.85410 | 0.224935 | ||||||||
\(162\) | −14.9230 | −1.17246 | ||||||||
\(163\) | 14.7292 | 1.15368 | 0.576840 | − | 0.816857i | \(-0.304286\pi\) | ||||
0.576840 | + | 0.816857i | \(0.304286\pi\) | |||||||
\(164\) | 1.43769 | 0.112265 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.79837 | 0.527656 | ||||||||
\(167\) | −6.44688 | −0.498875 | −0.249437 | − | 0.968391i | \(-0.580246\pi\) | ||||
−0.249437 | + | 0.968391i | \(0.580246\pi\) | |||||||
\(168\) | 22.1907 | 1.71205 | ||||||||
\(169\) | −5.94427 | −0.457252 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.7082 | 0.895349 | ||||||||
\(172\) | 0.894844 | 0.0682312 | ||||||||
\(173\) | −18.2063 | −1.38420 | −0.692099 | − | 0.721802i | \(-0.743314\pi\) | ||||
−0.692099 | + | 0.721802i | \(0.743314\pi\) | |||||||
\(174\) | 2.43769 | 0.184801 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −6.94427 | −0.523444 | ||||||||
\(177\) | −9.61045 | −0.722365 | ||||||||
\(178\) | −11.4459 | −0.857905 | ||||||||
\(179\) | 18.9443 | 1.41596 | 0.707981 | − | 0.706232i | \(-0.249606\pi\) | ||||
0.707981 | + | 0.706232i | \(0.249606\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.0901699 | 0.00670228 | 0.00335114 | − | 0.999994i | \(-0.498933\pi\) | ||||
0.00335114 | + | 0.999994i | \(0.498933\pi\) | |||||||
\(182\) | 12.2667 | 0.909269 | ||||||||
\(183\) | 10.9386 | 0.808603 | ||||||||
\(184\) | 2.43769 | 0.179709 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 5.70820 | 0.418546 | ||||||||
\(187\) | 8.59584 | 0.628590 | ||||||||
\(188\) | 0.119757 | 0.00873421 | ||||||||
\(189\) | 10.3262 | 0.751123 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.18034 | 0.591909 | 0.295954 | − | 0.955202i | \(-0.404362\pi\) | ||||
0.295954 | + | 0.955202i | \(0.404362\pi\) | |||||||
\(192\) | 18.7136 | 1.35054 | ||||||||
\(193\) | 6.95418 | 0.500573 | 0.250287 | − | 0.968172i | \(-0.419475\pi\) | ||||
0.250287 | + | 0.968172i | \(0.419475\pi\) | |||||||
\(194\) | −14.9443 | −1.07294 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.20163 | −0.0858304 | ||||||||
\(197\) | 23.5188 | 1.67565 | 0.837823 | − | 0.545942i | \(-0.183828\pi\) | ||||
0.837823 | + | 0.545942i | \(0.183828\pi\) | |||||||
\(198\) | 4.29792 | 0.305440 | ||||||||
\(199\) | −16.1803 | −1.14699 | −0.573497 | − | 0.819208i | \(-0.694414\pi\) | ||||
−0.573497 | + | 0.819208i | \(0.694414\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 9.23607 | 0.651462 | ||||||||
\(202\) | −14.7292 | −1.03634 | ||||||||
\(203\) | −2.96979 | −0.208438 | ||||||||
\(204\) | −2.18034 | −0.152654 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 17.1246 | 1.19313 | ||||||||
\(207\) | −1.32813 | −0.0923115 | ||||||||
\(208\) | 9.22290 | 0.639493 | ||||||||
\(209\) | 14.4721 | 1.00106 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.81966 | 0.400642 | 0.200321 | − | 0.979730i | \(-0.435802\pi\) | ||||
0.200321 | + | 0.979730i | \(0.435802\pi\) | |||||||
\(212\) | 2.02920 | 0.139366 | ||||||||
\(213\) | 17.5792 | 1.20451 | ||||||||
\(214\) | −13.4377 | −0.918582 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 8.81966 | 0.600102 | ||||||||
\(217\) | −6.95418 | −0.472081 | ||||||||
\(218\) | −16.6844 | −1.13001 | ||||||||
\(219\) | 35.5967 | 2.40541 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.4164 | −0.767951 | ||||||||
\(222\) | −4.68547 | −0.314468 | ||||||||
\(223\) | −7.46149 | −0.499658 | −0.249829 | − | 0.968290i | \(-0.580374\pi\) | ||||
−0.249829 | + | 0.968290i | \(0.580374\pi\) | |||||||
\(224\) | −4.61803 | −0.308555 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.52786 | −0.234670 | ||||||||
\(227\) | 12.0729 | 0.801309 | 0.400654 | − | 0.916229i | \(-0.368783\pi\) | ||||
0.400654 | + | 0.916229i | \(0.368783\pi\) | |||||||
\(228\) | −3.67086 | −0.243109 | ||||||||
\(229\) | −20.3262 | −1.34320 | −0.671598 | − | 0.740916i | \(-0.734392\pi\) | ||||
−0.671598 | + | 0.740916i | \(0.734392\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −14.9443 | −0.983261 | ||||||||
\(232\) | −2.53650 | −0.166530 | ||||||||
\(233\) | 1.01460 | 0.0664688 | 0.0332344 | − | 0.999448i | \(-0.489419\pi\) | ||||
0.0332344 | + | 0.999448i | \(0.489419\pi\) | |||||||
\(234\) | −5.70820 | −0.373157 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.05573 | 0.0687220 | ||||||||
\(237\) | 5.93958 | 0.385817 | ||||||||
\(238\) | −19.8480 | −1.28655 | ||||||||
\(239\) | −11.7082 | −0.757341 | −0.378670 | − | 0.925532i | \(-0.623619\pi\) | ||||
−0.378670 | + | 0.925532i | \(0.623619\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.09017 | −0.0702240 | −0.0351120 | − | 0.999383i | \(-0.511179\pi\) | ||||
−0.0351120 | + | 0.999383i | \(0.511179\pi\) | |||||||
\(242\) | −9.29692 | −0.597628 | ||||||||
\(243\) | −15.2365 | −0.977422 | ||||||||
\(244\) | −1.20163 | −0.0769262 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −17.3820 | −1.10823 | ||||||||
\(247\) | −19.2209 | −1.22300 | ||||||||
\(248\) | −5.93958 | −0.377164 | ||||||||
\(249\) | 11.0000 | 0.697097 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −20.3607 | −1.28515 | −0.642577 | − | 0.766221i | \(-0.722135\pi\) | ||||
−0.642577 | + | 0.766221i | \(0.722135\pi\) | |||||||
\(252\) | 1.32813 | 0.0836644 | ||||||||
\(253\) | −1.64166 | −0.103210 | ||||||||
\(254\) | 24.8541 | 1.55949 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.58359 | −0.348975 | ||||||||
\(257\) | 13.9084 | 0.867580 | 0.433790 | − | 0.901014i | \(-0.357176\pi\) | ||||
0.433790 | + | 0.901014i | \(0.357176\pi\) | |||||||
\(258\) | −10.8188 | −0.673550 | ||||||||
\(259\) | 5.70820 | 0.354691 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.38197 | 0.0855415 | ||||||||
\(262\) | −18.8333 | −1.16353 | ||||||||
\(263\) | −0.119757 | −0.00738456 | −0.00369228 | − | 0.999993i | \(-0.501175\pi\) | ||||
−0.00369228 | + | 0.999993i | \(0.501175\pi\) | |||||||
\(264\) | −12.7639 | −0.785566 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −33.4164 | −2.04889 | ||||||||
\(267\) | −18.5198 | −1.13339 | ||||||||
\(268\) | −1.01460 | −0.0619767 | ||||||||
\(269\) | 1.05573 | 0.0643689 | 0.0321844 | − | 0.999482i | \(-0.489754\pi\) | ||||
0.0321844 | + | 0.999482i | \(0.489754\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | −14.9230 | −0.904838 | ||||||||
\(273\) | 19.8480 | 1.20125 | ||||||||
\(274\) | −19.8197 | −1.19735 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.416408 | 0.0250648 | ||||||||
\(277\) | 16.1771 | 0.971987 | 0.485993 | − | 0.873962i | \(-0.338458\pi\) | ||||
0.485993 | + | 0.873962i | \(0.338458\pi\) | |||||||
\(278\) | 11.0126 | 0.660491 | ||||||||
\(279\) | 3.23607 | 0.193738 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 31.2705 | 1.86544 | 0.932721 | − | 0.360599i | \(-0.117428\pi\) | ||||
0.932721 | + | 0.360599i | \(0.117428\pi\) | |||||||
\(282\) | −1.44789 | −0.0862205 | ||||||||
\(283\) | 1.01460 | 0.0603118 | 0.0301559 | − | 0.999545i | \(-0.490400\pi\) | ||||
0.0301559 | + | 0.999545i | \(0.490400\pi\) | |||||||
\(284\) | −1.93112 | −0.114591 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.05573 | −0.417214 | ||||||||
\(287\) | 21.1761 | 1.24998 | ||||||||
\(288\) | 2.14896 | 0.126629 | ||||||||
\(289\) | 1.47214 | 0.0865962 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −24.1803 | −1.41748 | ||||||||
\(292\) | −3.91038 | −0.228838 | ||||||||
\(293\) | 28.4438 | 1.66170 | 0.830852 | − | 0.556493i | \(-0.187853\pi\) | ||||
0.830852 | + | 0.556493i | \(0.187853\pi\) | |||||||
\(294\) | 14.5279 | 0.847282 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 4.87539 | 0.283376 | ||||||||
\(297\) | −5.93958 | −0.344650 | ||||||||
\(298\) | 25.5938 | 1.48261 | ||||||||
\(299\) | 2.18034 | 0.126092 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.1803 | 0.759702 | ||||||||
\(302\) | 24.1459 | 1.38944 | ||||||||
\(303\) | −23.8323 | −1.36913 | ||||||||
\(304\) | −25.1246 | −1.44100 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.23607 | 0.527991 | ||||||||
\(307\) | 9.80422 | 0.559556 | 0.279778 | − | 0.960065i | \(-0.409739\pi\) | ||||
0.279778 | + | 0.960065i | \(0.409739\pi\) | |||||||
\(308\) | 1.64166 | 0.0935423 | ||||||||
\(309\) | 27.7082 | 1.57626 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.0000 | −1.02069 | −0.510343 | − | 0.859971i | \(-0.670482\pi\) | ||||
−0.510343 | + | 0.859971i | \(0.670482\pi\) | |||||||
\(312\) | 16.9522 | 0.959728 | ||||||||
\(313\) | −15.9376 | −0.900845 | −0.450422 | − | 0.892816i | \(-0.648727\pi\) | ||||
−0.450422 | + | 0.892816i | \(0.648727\pi\) | |||||||
\(314\) | −10.0689 | −0.568220 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.652476 | −0.0367046 | ||||||||
\(317\) | 17.5792 | 0.987348 | 0.493674 | − | 0.869647i | \(-0.335654\pi\) | ||||
0.493674 | + | 0.869647i | \(0.335654\pi\) | |||||||
\(318\) | −24.5334 | −1.37577 | ||||||||
\(319\) | 1.70820 | 0.0956411 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −21.7426 | −1.21356 | ||||||||
\(322\) | 3.79062 | 0.211243 | ||||||||
\(323\) | 31.1001 | 1.73045 | ||||||||
\(324\) | 2.65248 | 0.147360 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 19.5623 | 1.08346 | ||||||||
\(327\) | −26.9959 | −1.49288 | ||||||||
\(328\) | 18.0865 | 0.998662 | ||||||||
\(329\) | 1.76393 | 0.0972487 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.81966 | 0.319877 | 0.159939 | − | 0.987127i | \(-0.448870\pi\) | ||||
0.159939 | + | 0.987127i | \(0.448870\pi\) | |||||||
\(332\) | −1.20837 | −0.0663181 | ||||||||
\(333\) | −2.65626 | −0.145562 | ||||||||
\(334\) | −8.56231 | −0.468509 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 25.9443 | 1.41538 | ||||||||
\(337\) | −1.64166 | −0.0894269 | −0.0447135 | − | 0.999000i | \(-0.514237\pi\) | ||||
−0.0447135 | + | 0.999000i | \(0.514237\pi\) | |||||||
\(338\) | −7.89477 | −0.429419 | ||||||||
\(339\) | −5.70820 | −0.310027 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.00000 | 0.216612 | ||||||||
\(342\) | 15.5500 | 0.840849 | ||||||||
\(343\) | 6.64066 | 0.358562 | ||||||||
\(344\) | 11.2574 | 0.606956 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −24.1803 | −1.29994 | ||||||||
\(347\) | −28.6376 | −1.53735 | −0.768673 | − | 0.639642i | \(-0.779082\pi\) | ||||
−0.768673 | + | 0.639642i | \(0.779082\pi\) | |||||||
\(348\) | −0.433287 | −0.0232266 | ||||||||
\(349\) | −9.27051 | −0.496239 | −0.248120 | − | 0.968729i | \(-0.579813\pi\) | ||||
−0.248120 | + | 0.968729i | \(0.579813\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.88854 | 0.421059 | ||||||||
\(352\) | 2.65626 | 0.141579 | ||||||||
\(353\) | −21.8772 | −1.16440 | −0.582202 | − | 0.813044i | \(-0.697809\pi\) | ||||
−0.582202 | + | 0.813044i | \(0.697809\pi\) | |||||||
\(354\) | −12.7639 | −0.678395 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.03444 | 0.107825 | ||||||||
\(357\) | −32.1147 | −1.69969 | ||||||||
\(358\) | 25.1605 | 1.32977 | ||||||||
\(359\) | 7.88854 | 0.416341 | 0.208171 | − | 0.978093i | \(-0.433249\pi\) | ||||
0.208171 | + | 0.978093i | \(0.433249\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 33.3607 | 1.75583 | ||||||||
\(362\) | 0.119757 | 0.00629431 | ||||||||
\(363\) | −15.0427 | −0.789538 | ||||||||
\(364\) | −2.18034 | −0.114281 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 14.5279 | 0.759384 | ||||||||
\(367\) | −13.0875 | −0.683164 | −0.341582 | − | 0.939852i | \(-0.610963\pi\) | ||||
−0.341582 | + | 0.939852i | \(0.610963\pi\) | |||||||
\(368\) | 2.85003 | 0.148568 | ||||||||
\(369\) | −9.85410 | −0.512984 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 29.8885 | 1.55174 | ||||||||
\(372\) | −1.01460 | −0.0526047 | ||||||||
\(373\) | −31.4876 | −1.63037 | −0.815183 | − | 0.579203i | \(-0.803364\pi\) | ||||
−0.815183 | + | 0.579203i | \(0.803364\pi\) | |||||||
\(374\) | 11.4164 | 0.590328 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.50658 | 0.0776958 | ||||||||
\(377\) | −2.26872 | −0.116845 | ||||||||
\(378\) | 13.7146 | 0.705403 | ||||||||
\(379\) | 28.9443 | 1.48677 | 0.743384 | − | 0.668865i | \(-0.233220\pi\) | ||||
0.743384 | + | 0.668865i | \(0.233220\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 40.2148 | 2.06027 | ||||||||
\(382\) | 10.8646 | 0.555879 | ||||||||
\(383\) | −1.52190 | −0.0777656 | −0.0388828 | − | 0.999244i | \(-0.512380\pi\) | ||||
−0.0388828 | + | 0.999244i | \(0.512380\pi\) | |||||||
\(384\) | 19.1459 | 0.977035 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.23607 | 0.470103 | ||||||||
\(387\) | −6.13335 | −0.311776 | ||||||||
\(388\) | 2.65626 | 0.134851 | ||||||||
\(389\) | −23.6180 | −1.19748 | −0.598741 | − | 0.800943i | \(-0.704332\pi\) | ||||
−0.598741 | + | 0.800943i | \(0.704332\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.52786 | −0.178412 | ||||||||
\(392\) | −15.1167 | −0.763511 | ||||||||
\(393\) | −30.4730 | −1.53716 | ||||||||
\(394\) | 31.2361 | 1.57365 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.763932 | −0.0383890 | ||||||||
\(397\) | 31.7271 | 1.59234 | 0.796169 | − | 0.605074i | \(-0.206857\pi\) | ||||
0.796169 | + | 0.605074i | \(0.206857\pi\) | |||||||
\(398\) | −21.4896 | −1.07718 | ||||||||
\(399\) | −54.0689 | −2.70683 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −37.2705 | −1.86120 | −0.930600 | − | 0.366037i | \(-0.880714\pi\) | ||||
−0.930600 | + | 0.366037i | \(0.880714\pi\) | |||||||
\(402\) | 12.2667 | 0.611808 | ||||||||
\(403\) | −5.31252 | −0.264636 | ||||||||
\(404\) | 2.61803 | 0.130252 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.94427 | −0.195751 | ||||||||
\(407\) | −3.28332 | −0.162748 | ||||||||
\(408\) | −27.4292 | −1.35795 | ||||||||
\(409\) | −13.7426 | −0.679530 | −0.339765 | − | 0.940510i | \(-0.610348\pi\) | ||||
−0.339765 | + | 0.940510i | \(0.610348\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −32.0689 | −1.58184 | ||||||||
\(412\) | −3.04381 | −0.149958 | ||||||||
\(413\) | 15.5500 | 0.765167 | ||||||||
\(414\) | −1.76393 | −0.0866925 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.52786 | −0.172968 | ||||||||
\(417\) | 17.8187 | 0.872588 | ||||||||
\(418\) | 19.2209 | 0.940125 | ||||||||
\(419\) | 3.41641 | 0.166902 | 0.0834512 | − | 0.996512i | \(-0.473406\pi\) | ||||
0.0834512 | + | 0.996512i | \(0.473406\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.0902 | 0.491765 | 0.245882 | − | 0.969300i | \(-0.420922\pi\) | ||||
0.245882 | + | 0.969300i | \(0.420922\pi\) | |||||||
\(422\) | 7.72927 | 0.376255 | ||||||||
\(423\) | −0.820830 | −0.0399101 | ||||||||
\(424\) | 25.5279 | 1.23974 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 23.3475 | 1.13119 | ||||||||
\(427\) | −17.6990 | −0.856514 | ||||||||
\(428\) | 2.38848 | 0.115451 | ||||||||
\(429\) | −11.4164 | −0.551189 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.1803 | −0.683043 | −0.341521 | − | 0.939874i | \(-0.610942\pi\) | ||||
−0.341521 | + | 0.939874i | \(0.610942\pi\) | |||||||
\(432\) | 10.3115 | 0.496113 | ||||||||
\(433\) | 14.2959 | 0.687018 | 0.343509 | − | 0.939149i | \(-0.388384\pi\) | ||||
0.343509 | + | 0.939149i | \(0.388384\pi\) | |||||||
\(434\) | −9.23607 | −0.443345 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.96556 | 0.142024 | ||||||||
\(437\) | −5.93958 | −0.284129 | ||||||||
\(438\) | 47.2771 | 2.25899 | ||||||||
\(439\) | 10.6525 | 0.508415 | 0.254207 | − | 0.967150i | \(-0.418185\pi\) | ||||
0.254207 | + | 0.967150i | \(0.418185\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8.23607 | 0.392194 | ||||||||
\(442\) | −15.1625 | −0.721206 | ||||||||
\(443\) | 24.3396 | 1.15641 | 0.578206 | − | 0.815891i | \(-0.303753\pi\) | ||||
0.578206 | + | 0.815891i | \(0.303753\pi\) | |||||||
\(444\) | 0.832816 | 0.0395237 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −9.90983 | −0.469244 | ||||||||
\(447\) | 41.4116 | 1.95870 | ||||||||
\(448\) | −30.2792 | −1.43056 | ||||||||
\(449\) | 10.0000 | 0.471929 | 0.235965 | − | 0.971762i | \(-0.424175\pi\) | ||||
0.235965 | + | 0.971762i | \(0.424175\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.1803 | −0.573550 | ||||||||
\(452\) | 0.627058 | 0.0294943 | ||||||||
\(453\) | 39.0688 | 1.83561 | ||||||||
\(454\) | 16.0344 | 0.752534 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −46.1803 | −2.16259 | ||||||||
\(457\) | 13.9084 | 0.650606 | 0.325303 | − | 0.945610i | \(-0.394534\pi\) | ||||
0.325303 | + | 0.945610i | \(0.394534\pi\) | |||||||
\(458\) | −26.9959 | −1.26144 | ||||||||
\(459\) | −12.7639 | −0.595769 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.2705 | 0.990666 | 0.495333 | − | 0.868703i | \(-0.335046\pi\) | ||||
0.495333 | + | 0.868703i | \(0.335046\pi\) | |||||||
\(462\) | −19.8480 | −0.923410 | ||||||||
\(463\) | 22.9375 | 1.06600 | 0.532998 | − | 0.846116i | \(-0.321065\pi\) | ||||
0.532998 | + | 0.846116i | \(0.321065\pi\) | |||||||
\(464\) | −2.96556 | −0.137673 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.34752 | 0.0624229 | ||||||||
\(467\) | 21.6834 | 1.00339 | 0.501694 | − | 0.865045i | \(-0.332710\pi\) | ||||
0.501694 | + | 0.865045i | \(0.332710\pi\) | |||||||
\(468\) | 1.01460 | 0.0469000 | ||||||||
\(469\) | −14.9443 | −0.690062 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.2918 | −0.750686 | ||||||||
\(472\) | 13.2813 | 0.611322 | ||||||||
\(473\) | −7.58124 | −0.348586 | ||||||||
\(474\) | 7.88854 | 0.362333 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.52786 | 0.161699 | ||||||||
\(477\) | −13.9084 | −0.636820 | ||||||||
\(478\) | −15.5500 | −0.711242 | ||||||||
\(479\) | −29.5967 | −1.35231 | −0.676155 | − | 0.736759i | \(-0.736355\pi\) | ||||
−0.676155 | + | 0.736759i | \(0.736355\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.36068 | 0.198830 | ||||||||
\(482\) | −1.44789 | −0.0659495 | ||||||||
\(483\) | 6.13335 | 0.279077 | ||||||||
\(484\) | 1.65248 | 0.0751125 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −20.2361 | −0.917927 | ||||||||
\(487\) | −25.6678 | −1.16312 | −0.581559 | − | 0.813504i | \(-0.697557\pi\) | ||||
−0.581559 | + | 0.813504i | \(0.697557\pi\) | |||||||
\(488\) | −15.1167 | −0.684303 | ||||||||
\(489\) | 31.6525 | 1.43137 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.8197 | −0.533414 | −0.266707 | − | 0.963778i | \(-0.585936\pi\) | ||||
−0.266707 | + | 0.963778i | \(0.585936\pi\) | |||||||
\(492\) | 3.08955 | 0.139288 | ||||||||
\(493\) | 3.67086 | 0.165327 | ||||||||
\(494\) | −25.5279 | −1.14855 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.94427 | −0.311807 | ||||||||
\(497\) | −28.4438 | −1.27588 | ||||||||
\(498\) | 14.6094 | 0.654665 | ||||||||
\(499\) | 16.1803 | 0.724331 | 0.362166 | − | 0.932114i | \(-0.382037\pi\) | ||||
0.362166 | + | 0.932114i | \(0.382037\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −13.8541 | −0.618956 | ||||||||
\(502\) | −27.0417 | −1.20693 | ||||||||
\(503\) | 8.78962 | 0.391910 | 0.195955 | − | 0.980613i | \(-0.437219\pi\) | ||||
0.195955 | + | 0.980613i | \(0.437219\pi\) | |||||||
\(504\) | 16.7082 | 0.744243 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.18034 | −0.0969279 | ||||||||
\(507\) | −12.7740 | −0.567314 | ||||||||
\(508\) | −4.41768 | −0.196003 | ||||||||
\(509\) | 15.5279 | 0.688260 | 0.344130 | − | 0.938922i | \(-0.388174\pi\) | ||||
0.344130 | + | 0.938922i | \(0.388174\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −57.5967 | −2.54793 | ||||||||
\(512\) | −25.2345 | −1.11522 | ||||||||
\(513\) | −21.4896 | −0.948790 | ||||||||
\(514\) | 18.4721 | 0.814771 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.92299 | 0.0846547 | ||||||||
\(517\) | −1.01460 | −0.0446221 | ||||||||
\(518\) | 7.58124 | 0.333101 | ||||||||
\(519\) | −39.1246 | −1.71738 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 23.9098 | 1.04751 | 0.523754 | − | 0.851869i | \(-0.324531\pi\) | ||||
0.523754 | + | 0.851869i | \(0.324531\pi\) | |||||||
\(522\) | 1.83543 | 0.0803347 | ||||||||
\(523\) | −15.6698 | −0.685192 | −0.342596 | − | 0.939483i | \(-0.611306\pi\) | ||||
−0.342596 | + | 0.939483i | \(0.611306\pi\) | |||||||
\(524\) | 3.34752 | 0.146237 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.159054 | −0.00693507 | ||||||||
\(527\) | 8.59584 | 0.374441 | ||||||||
\(528\) | −14.9230 | −0.649439 | ||||||||
\(529\) | −22.3262 | −0.970706 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.23607 | −0.314019 | ||||||||
\(532\) | 5.93958 | 0.257514 | ||||||||
\(533\) | 16.1771 | 0.700707 | ||||||||
\(534\) | −24.5967 | −1.06441 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −12.7639 | −0.551318 | ||||||||
\(537\) | 40.7105 | 1.75679 | ||||||||
\(538\) | 1.40215 | 0.0604508 | ||||||||
\(539\) | 10.1803 | 0.438498 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.0901699 | 0.00387671 | 0.00193835 | − | 0.999998i | \(-0.499383\pi\) | ||||
0.00193835 | + | 0.999998i | \(0.499383\pi\) | |||||||
\(542\) | −10.6250 | −0.456385 | ||||||||
\(543\) | 0.193772 | 0.00831554 | ||||||||
\(544\) | 5.70820 | 0.244737 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 26.3607 | 1.12813 | ||||||||
\(547\) | 14.3417 | 0.613205 | 0.306602 | − | 0.951838i | \(-0.400808\pi\) | ||||
0.306602 | + | 0.951838i | \(0.400808\pi\) | |||||||
\(548\) | 3.52284 | 0.150488 | ||||||||
\(549\) | 8.23607 | 0.351507 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.18034 | 0.263291 | ||||||||
\(552\) | 5.23851 | 0.222966 | ||||||||
\(553\) | −9.61045 | −0.408678 | ||||||||
\(554\) | 21.4853 | 0.912823 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.95743 | −0.0830134 | ||||||||
\(557\) | −34.1439 | −1.44672 | −0.723361 | − | 0.690470i | \(-0.757404\pi\) | ||||
−0.723361 | + | 0.690470i | \(0.757404\pi\) | |||||||
\(558\) | 4.29792 | 0.181946 | ||||||||
\(559\) | 10.0689 | 0.425868 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.4721 | 0.779894 | ||||||||
\(562\) | 41.5313 | 1.75189 | ||||||||
\(563\) | −37.4272 | −1.57737 | −0.788684 | − | 0.614799i | \(-0.789237\pi\) | ||||
−0.788684 | + | 0.614799i | \(0.789237\pi\) | |||||||
\(564\) | 0.257354 | 0.0108366 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 1.34752 | 0.0566407 | ||||||||
\(567\) | 39.0688 | 1.64074 | ||||||||
\(568\) | −24.2939 | −1.01935 | ||||||||
\(569\) | −23.2148 | −0.973214 | −0.486607 | − | 0.873621i | \(-0.661766\pi\) | ||||
−0.486607 | + | 0.873621i | \(0.661766\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 32.0000 | 1.33916 | 0.669579 | − | 0.742741i | \(-0.266474\pi\) | ||||
0.669579 | + | 0.742741i | \(0.266474\pi\) | |||||||
\(572\) | 1.25412 | 0.0524373 | ||||||||
\(573\) | 17.5792 | 0.734383 | ||||||||
\(574\) | 28.1246 | 1.17390 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 14.0902 | 0.587090 | ||||||||
\(577\) | 21.2501 | 0.884653 | 0.442327 | − | 0.896854i | \(-0.354153\pi\) | ||||
0.442327 | + | 0.896854i | \(0.354153\pi\) | |||||||
\(578\) | 1.95519 | 0.0813252 | ||||||||
\(579\) | 14.9443 | 0.621063 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −17.7984 | −0.738401 | ||||||||
\(582\) | −32.1147 | −1.33120 | ||||||||
\(583\) | −17.1917 | −0.712007 | ||||||||
\(584\) | −49.1935 | −2.03564 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 37.7771 | 1.56056 | ||||||||
\(587\) | 11.6397 | 0.480420 | 0.240210 | − | 0.970721i | \(-0.422784\pi\) | ||||
0.240210 | + | 0.970721i | \(0.422784\pi\) | |||||||
\(588\) | −2.58225 | −0.106490 | ||||||||
\(589\) | 14.4721 | 0.596314 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 50.5410 | 2.07898 | ||||||||
\(592\) | 5.70007 | 0.234271 | ||||||||
\(593\) | −36.0250 | −1.47937 | −0.739686 | − | 0.672953i | \(-0.765026\pi\) | ||||
−0.739686 | + | 0.672953i | \(0.765026\pi\) | |||||||
\(594\) | −7.88854 | −0.323671 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.54915 | −0.186340 | ||||||||
\(597\) | −34.7709 | −1.42308 | ||||||||
\(598\) | 2.89578 | 0.118417 | ||||||||
\(599\) | −38.5410 | −1.57474 | −0.787372 | − | 0.616479i | \(-0.788559\pi\) | ||||
−0.787372 | + | 0.616479i | \(0.788559\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.27051 | 0.255779 | 0.127890 | − | 0.991788i | \(-0.459180\pi\) | ||||
0.127890 | + | 0.991788i | \(0.459180\pi\) | |||||||
\(602\) | 17.5052 | 0.713459 | ||||||||
\(603\) | 6.95418 | 0.283196 | ||||||||
\(604\) | −4.29180 | −0.174631 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −31.6525 | −1.28579 | ||||||||
\(607\) | 35.3980 | 1.43676 | 0.718380 | − | 0.695651i | \(-0.244884\pi\) | ||||
0.718380 | + | 0.695651i | \(0.244884\pi\) | |||||||
\(608\) | 9.61045 | 0.389755 | ||||||||
\(609\) | −6.38197 | −0.258610 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.34752 | 0.0545150 | ||||||||
\(612\) | −1.64166 | −0.0663602 | ||||||||
\(613\) | 10.6250 | 0.429142 | 0.214571 | − | 0.976708i | \(-0.431165\pi\) | ||||
0.214571 | + | 0.976708i | \(0.431165\pi\) | |||||||
\(614\) | 13.0213 | 0.525496 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.6525 | 0.832112 | ||||||||
\(617\) | −38.6813 | −1.55725 | −0.778625 | − | 0.627489i | \(-0.784083\pi\) | ||||
−0.778625 | + | 0.627489i | \(0.784083\pi\) | |||||||
\(618\) | 36.8001 | 1.48032 | ||||||||
\(619\) | 39.5967 | 1.59153 | 0.795764 | − | 0.605607i | \(-0.207070\pi\) | ||||
0.795764 | + | 0.605607i | \(0.207070\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.43769 | 0.0978213 | ||||||||
\(622\) | −23.9064 | −0.958558 | ||||||||
\(623\) | 29.9657 | 1.20055 | ||||||||
\(624\) | 19.8197 | 0.793421 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −21.1672 | −0.846011 | ||||||||
\(627\) | 31.1001 | 1.24202 | ||||||||
\(628\) | 1.78969 | 0.0714164 | ||||||||
\(629\) | −7.05573 | −0.281330 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.3607 | −0.412452 | −0.206226 | − | 0.978504i | \(-0.566118\pi\) | ||||
−0.206226 | + | 0.978504i | \(0.566118\pi\) | |||||||
\(632\) | −8.20830 | −0.326509 | ||||||||
\(633\) | 12.5062 | 0.497078 | ||||||||
\(634\) | 23.3475 | 0.927249 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 4.36068 | 0.172912 | ||||||||
\(637\) | −13.5208 | −0.535715 | ||||||||
\(638\) | 2.26872 | 0.0898194 | ||||||||
\(639\) | 13.2361 | 0.523611 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26.2705 | 1.03762 | 0.518811 | − | 0.854889i | \(-0.326375\pi\) | ||||
0.518811 | + | 0.854889i | \(0.326375\pi\) | |||||||
\(642\) | −28.8771 | −1.13969 | ||||||||
\(643\) | −2.22298 | −0.0876656 | −0.0438328 | − | 0.999039i | \(-0.513957\pi\) | ||||
−0.0438328 | + | 0.999039i | \(0.513957\pi\) | |||||||
\(644\) | −0.673762 | −0.0265499 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 41.3050 | 1.62512 | ||||||||
\(647\) | −19.4604 | −0.765068 | −0.382534 | − | 0.923942i | \(-0.624948\pi\) | ||||
−0.382534 | + | 0.923942i | \(0.624948\pi\) | |||||||
\(648\) | 33.3688 | 1.31085 | ||||||||
\(649\) | −8.94427 | −0.351093 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −14.9443 | −0.585712 | ||||||||
\(652\) | −3.47709 | −0.136173 | ||||||||
\(653\) | 26.1751 | 1.02431 | 0.512155 | − | 0.858893i | \(-0.328847\pi\) | ||||
0.512155 | + | 0.858893i | \(0.328847\pi\) | |||||||
\(654\) | −35.8541 | −1.40201 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 21.1459 | 0.825609 | ||||||||
\(657\) | 26.8021 | 1.04565 | ||||||||
\(658\) | 2.34273 | 0.0913292 | ||||||||
\(659\) | −10.6525 | −0.414962 | −0.207481 | − | 0.978239i | \(-0.566526\pi\) | ||||
−0.207481 | + | 0.978239i | \(0.566526\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.2705 | −0.866222 | −0.433111 | − | 0.901340i | \(-0.642584\pi\) | ||||
−0.433111 | + | 0.901340i | \(0.642584\pi\) | |||||||
\(662\) | 7.72927 | 0.300407 | ||||||||
\(663\) | −24.5334 | −0.952799 | ||||||||
\(664\) | −15.2016 | −0.589938 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.52786 | −0.136702 | ||||||||
\(667\) | −0.701073 | −0.0271456 | ||||||||
\(668\) | 1.52190 | 0.0588842 | ||||||||
\(669\) | −16.0344 | −0.619927 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 10.1803 | 0.393008 | ||||||||
\(672\) | −9.92398 | −0.382826 | ||||||||
\(673\) | 16.5646 | 0.638520 | 0.319260 | − | 0.947667i | \(-0.396566\pi\) | ||||
0.319260 | + | 0.947667i | \(0.396566\pi\) | |||||||
\(674\) | −2.18034 | −0.0839836 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.40325 | 0.0539712 | ||||||||
\(677\) | −5.31252 | −0.204177 | −0.102088 | − | 0.994775i | \(-0.532552\pi\) | ||||
−0.102088 | + | 0.994775i | \(0.532552\pi\) | |||||||
\(678\) | −7.58124 | −0.291156 | ||||||||
\(679\) | 39.1246 | 1.50146 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 25.9443 | 0.994187 | ||||||||
\(682\) | 5.31252 | 0.203427 | ||||||||
\(683\) | −36.2928 | −1.38871 | −0.694353 | − | 0.719634i | \(-0.744309\pi\) | ||||
−0.694353 | + | 0.719634i | \(0.744309\pi\) | |||||||
\(684\) | −2.76393 | −0.105682 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 8.81966 | 0.336736 | ||||||||
\(687\) | −43.6803 | −1.66651 | ||||||||
\(688\) | 13.1616 | 0.501779 | ||||||||
\(689\) | 22.8328 | 0.869861 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.1803 | −0.539446 | −0.269723 | − | 0.962938i | \(-0.586932\pi\) | ||||
−0.269723 | + | 0.962938i | \(0.586932\pi\) | |||||||
\(692\) | 4.29792 | 0.163382 | ||||||||
\(693\) | −11.2521 | −0.427432 | ||||||||
\(694\) | −38.0344 | −1.44377 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −5.45085 | −0.206614 | ||||||||
\(697\) | −26.1751 | −0.991452 | ||||||||
\(698\) | −12.3125 | −0.466033 | ||||||||
\(699\) | 2.18034 | 0.0824680 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.0000 | 0.830929 | 0.415464 | − | 0.909610i | \(-0.363619\pi\) | ||||
0.415464 | + | 0.909610i | \(0.363619\pi\) | |||||||
\(702\) | 10.4770 | 0.395430 | ||||||||
\(703\) | −11.8792 | −0.448031 | ||||||||
\(704\) | 17.4164 | 0.656406 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −29.0557 | −1.09353 | ||||||||
\(707\) | 38.5615 | 1.45026 | ||||||||
\(708\) | 2.26872 | 0.0852637 | ||||||||
\(709\) | 20.9787 | 0.787872 | 0.393936 | − | 0.919138i | \(-0.371113\pi\) | ||||
0.393936 | + | 0.919138i | \(0.371113\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.47214 | 0.167718 | ||||||||
\(712\) | 25.5938 | 0.959167 | ||||||||
\(713\) | −1.64166 | −0.0614807 | ||||||||
\(714\) | −42.6525 | −1.59623 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.47214 | −0.167132 | ||||||||
\(717\) | −25.1605 | −0.939635 | ||||||||
\(718\) | 10.4770 | 0.390999 | ||||||||
\(719\) | 17.2361 | 0.642797 | 0.321398 | − | 0.946944i | \(-0.395847\pi\) | ||||
0.321398 | + | 0.946944i | \(0.395847\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −44.8328 | −1.66966 | ||||||||
\(722\) | 44.3074 | 1.64895 | ||||||||
\(723\) | −2.34273 | −0.0871272 | ||||||||
\(724\) | −0.0212862 | −0.000791097 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −19.9787 | −0.741480 | ||||||||
\(727\) | −37.5469 | −1.39254 | −0.696269 | − | 0.717780i | \(-0.745158\pi\) | ||||
−0.696269 | + | 0.717780i | \(0.745158\pi\) | |||||||
\(728\) | −27.4292 | −1.01659 | ||||||||
\(729\) | 0.965558 | 0.0357614 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −16.2918 | −0.602574 | ||||||||
\(732\) | −2.58225 | −0.0954426 | ||||||||
\(733\) | 9.22290 | 0.340656 | 0.170328 | − | 0.985387i | \(-0.445517\pi\) | ||||
0.170328 | + | 0.985387i | \(0.445517\pi\) | |||||||
\(734\) | −17.3820 | −0.641580 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.09017 | −0.0401842 | ||||||||
\(737\) | 8.59584 | 0.316632 | ||||||||
\(738\) | −13.0875 | −0.481759 | ||||||||
\(739\) | 28.2918 | 1.04073 | 0.520365 | − | 0.853944i | \(-0.325796\pi\) | ||||
0.520365 | + | 0.853944i | \(0.325796\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −41.3050 | −1.51738 | ||||||||
\(742\) | 39.6959 | 1.45728 | ||||||||
\(743\) | −6.32713 | −0.232120 | −0.116060 | − | 0.993242i | \(-0.537026\pi\) | ||||
−0.116060 | + | 0.993242i | \(0.537026\pi\) | |||||||
\(744\) | −12.7639 | −0.467948 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −41.8197 | −1.53113 | ||||||||
\(747\) | 8.28232 | 0.303034 | ||||||||
\(748\) | −2.02920 | −0.0741950 | ||||||||
\(749\) | 35.1803 | 1.28546 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.1803 | −0.517448 | −0.258724 | − | 0.965951i | \(-0.583302\pi\) | ||||
−0.258724 | + | 0.965951i | \(0.583302\pi\) | |||||||
\(752\) | 1.76142 | 0.0642323 | ||||||||
\(753\) | −43.7543 | −1.59450 | ||||||||
\(754\) | −3.01316 | −0.109733 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −2.43769 | −0.0886581 | ||||||||
\(757\) | 0.627058 | 0.0227908 | 0.0113954 | − | 0.999935i | \(-0.496373\pi\) | ||||
0.0113954 | + | 0.999935i | \(0.496373\pi\) | |||||||
\(758\) | 38.4418 | 1.39627 | ||||||||
\(759\) | −3.52786 | −0.128053 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −37.2705 | −1.35105 | −0.675527 | − | 0.737335i | \(-0.736084\pi\) | ||||
−0.675527 | + | 0.737335i | \(0.736084\pi\) | |||||||
\(762\) | 53.4105 | 1.93486 | ||||||||
\(763\) | 43.6803 | 1.58133 | ||||||||
\(764\) | −1.93112 | −0.0698653 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.02129 | −0.0730320 | ||||||||
\(767\) | 11.8792 | 0.428932 | ||||||||
\(768\) | −11.9989 | −0.432974 | ||||||||
\(769\) | −8.49342 | −0.306281 | −0.153140 | − | 0.988204i | \(-0.548939\pi\) | ||||
−0.153140 | + | 0.988204i | \(0.548939\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 29.8885 | 1.07641 | ||||||||
\(772\) | −1.64166 | −0.0590846 | ||||||||
\(773\) | 3.28332 | 0.118093 | 0.0590464 | − | 0.998255i | \(-0.481194\pi\) | ||||
0.0590464 | + | 0.998255i | \(0.481194\pi\) | |||||||
\(774\) | −8.14590 | −0.292798 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 33.4164 | 1.19958 | ||||||||
\(777\) | 12.2667 | 0.440066 | ||||||||
\(778\) | −31.3678 | −1.12459 | ||||||||
\(779\) | −44.0689 | −1.57893 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.3607 | 0.585431 | ||||||||
\(782\) | −4.68547 | −0.167552 | ||||||||
\(783\) | −2.53650 | −0.0906473 | ||||||||
\(784\) | −17.6738 | −0.631206 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −40.4721 | −1.44359 | ||||||||
\(787\) | −47.1574 | −1.68098 | −0.840490 | − | 0.541828i | \(-0.817733\pi\) | ||||
−0.840490 | + | 0.541828i | \(0.817733\pi\) | |||||||
\(788\) | −5.55204 | −0.197783 | ||||||||
\(789\) | −0.257354 | −0.00916205 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.23607 | 0.328397 | ||||||||
\(792\) | −9.61045 | −0.341492 | ||||||||
\(793\) | −13.5208 | −0.480139 | ||||||||
\(794\) | 42.1378 | 1.49541 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.81966 | 0.135384 | ||||||||
\(797\) | 31.7271 | 1.12383 | 0.561916 | − | 0.827194i | \(-0.310064\pi\) | ||||
0.561916 | + | 0.827194i | \(0.310064\pi\) | |||||||
\(798\) | −71.8106 | −2.54207 | ||||||||
\(799\) | −2.18034 | −0.0771349 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.9443 | −0.492697 | ||||||||
\(802\) | −49.5001 | −1.74791 | ||||||||
\(803\) | 33.1293 | 1.16911 | ||||||||
\(804\) | −2.18034 | −0.0768947 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −7.05573 | −0.248527 | ||||||||
\(807\) | 2.26872 | 0.0798627 | ||||||||
\(808\) | 32.9355 | 1.15867 | ||||||||
\(809\) | 54.7984 | 1.92661 | 0.963304 | − | 0.268412i | \(-0.0864990\pi\) | ||||
0.963304 | + | 0.268412i | \(0.0864990\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.0000 | 0.772524 | 0.386262 | − | 0.922389i | \(-0.373766\pi\) | ||||
0.386262 | + | 0.922389i | \(0.373766\pi\) | |||||||
\(812\) | 0.701073 | 0.0246028 | ||||||||
\(813\) | −17.1917 | −0.602939 | ||||||||
\(814\) | −4.36068 | −0.152842 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −32.0689 | −1.12264 | ||||||||
\(817\) | −27.4292 | −0.959626 | ||||||||
\(818\) | −18.2520 | −0.638167 | ||||||||
\(819\) | 14.9443 | 0.522195 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −27.2705 | −0.951747 | −0.475874 | − | 0.879514i | \(-0.657868\pi\) | ||||
−0.475874 | + | 0.879514i | \(0.657868\pi\) | |||||||
\(822\) | −42.5917 | −1.48556 | ||||||||
\(823\) | −18.2063 | −0.634631 | −0.317316 | − | 0.948320i | \(-0.602781\pi\) | ||||
−0.317316 | + | 0.948320i | \(0.602781\pi\) | |||||||
\(824\) | −38.2918 | −1.33396 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.6525 | 0.718592 | ||||||||
\(827\) | −26.8021 | −0.932002 | −0.466001 | − | 0.884784i | \(-0.654306\pi\) | ||||
−0.466001 | + | 0.884784i | \(0.654306\pi\) | |||||||
\(828\) | 0.313529 | 0.0108959 | ||||||||
\(829\) | 10.8541 | 0.376979 | 0.188489 | − | 0.982075i | \(-0.439641\pi\) | ||||
0.188489 | + | 0.982075i | \(0.439641\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 34.7639 | 1.20595 | ||||||||
\(832\) | −23.1313 | −0.801933 | ||||||||
\(833\) | 21.8772 | 0.757998 | ||||||||
\(834\) | 23.6656 | 0.819474 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −3.41641 | −0.118159 | ||||||||
\(837\) | −5.93958 | −0.205302 | ||||||||
\(838\) | 4.53744 | 0.156743 | ||||||||
\(839\) | −31.7082 | −1.09469 | −0.547344 | − | 0.836907i | \(-0.684361\pi\) | ||||
−0.547344 | + | 0.836907i | \(0.684361\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.2705 | −0.974845 | ||||||||
\(842\) | 13.4011 | 0.461831 | ||||||||
\(843\) | 67.1991 | 2.31446 | ||||||||
\(844\) | −1.37384 | −0.0472894 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.09017 | −0.0374808 | ||||||||
\(847\) | 24.3396 | 0.836320 | ||||||||
\(848\) | 29.8459 | 1.02491 | ||||||||
\(849\) | 2.18034 | 0.0748291 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.34752 | 0.0461925 | ||||||||
\(852\) | −4.14989 | −0.142173 | ||||||||
\(853\) | 34.3834 | 1.17726 | 0.588632 | − | 0.808401i | \(-0.299667\pi\) | ||||
0.588632 | + | 0.808401i | \(0.299667\pi\) | |||||||
\(854\) | −23.5066 | −0.804379 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30.0476 | 1.02701 | ||||||||
\(857\) | 0.627058 | 0.0214199 | 0.0107100 | − | 0.999943i | \(-0.496591\pi\) | ||||
0.0107100 | + | 0.999943i | \(0.496591\pi\) | |||||||
\(858\) | −15.1625 | −0.517639 | ||||||||
\(859\) | −26.8328 | −0.915524 | −0.457762 | − | 0.889075i | \(-0.651349\pi\) | ||||
−0.457762 | + | 0.889075i | \(0.651349\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 45.5066 | 1.55086 | ||||||||
\(862\) | −18.8333 | −0.641466 | ||||||||
\(863\) | 49.5001 | 1.68500 | 0.842502 | − | 0.538693i | \(-0.181082\pi\) | ||||
0.842502 | + | 0.538693i | \(0.181082\pi\) | |||||||
\(864\) | −3.94427 | −0.134187 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 18.9868 | 0.645199 | ||||||||
\(867\) | 3.16356 | 0.107440 | ||||||||
\(868\) | 1.64166 | 0.0557216 | ||||||||
\(869\) | 5.52786 | 0.187520 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −11.4164 | −0.386830 | ||||||||
\(872\) | 37.3074 | 1.26339 | ||||||||
\(873\) | −18.2063 | −0.616190 | ||||||||
\(874\) | −7.88854 | −0.266834 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.40325 | −0.283920 | ||||||||
\(877\) | 29.4584 | 0.994739 | 0.497370 | − | 0.867539i | \(-0.334299\pi\) | ||||
0.497370 | + | 0.867539i | \(0.334299\pi\) | |||||||
\(878\) | 14.1479 | 0.477468 | ||||||||
\(879\) | 61.1246 | 2.06168 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.4508 | −0.453171 | −0.226585 | − | 0.973991i | \(-0.572756\pi\) | ||||
−0.226585 | + | 0.973991i | \(0.572756\pi\) | |||||||
\(882\) | 10.9386 | 0.368321 | ||||||||
\(883\) | −37.8605 | −1.27411 | −0.637053 | − | 0.770820i | \(-0.719847\pi\) | ||||
−0.637053 | + | 0.770820i | \(0.719847\pi\) | |||||||
\(884\) | 2.69505 | 0.0906443 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.3262 | 1.08602 | ||||||||
\(887\) | 10.6708 | 0.358290 | 0.179145 | − | 0.983823i | \(-0.442667\pi\) | ||||
0.179145 | + | 0.983823i | \(0.442667\pi\) | |||||||
\(888\) | 10.4770 | 0.351586 | ||||||||
\(889\) | −65.0689 | −2.18234 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −22.4721 | −0.752845 | ||||||||
\(892\) | 1.76142 | 0.0589766 | ||||||||
\(893\) | −3.67086 | −0.122841 | ||||||||
\(894\) | 55.0000 | 1.83948 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −30.9787 | −1.03493 | ||||||||
\(897\) | 4.68547 | 0.156443 | ||||||||
\(898\) | 13.2813 | 0.443203 | ||||||||
\(899\) | 1.70820 | 0.0569718 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −36.9443 | −1.23079 | ||||||||
\(902\) | −16.1771 | −0.538638 | ||||||||
\(903\) | 28.3240 | 0.942565 | ||||||||
\(904\) | 7.88854 | 0.262369 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 51.8885 | 1.72388 | ||||||||
\(907\) | −11.6854 | −0.388007 | −0.194004 | − | 0.981001i | \(-0.562147\pi\) | ||||
−0.194004 | + | 0.981001i | \(0.562147\pi\) | |||||||
\(908\) | −2.85003 | −0.0945817 | ||||||||
\(909\) | −17.9443 | −0.595174 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 46.7214 | 1.54795 | 0.773974 | − | 0.633218i | \(-0.218266\pi\) | ||||
0.773974 | + | 0.633218i | \(0.218266\pi\) | |||||||
\(912\) | −53.9918 | −1.78785 | ||||||||
\(913\) | 10.2375 | 0.338812 | ||||||||
\(914\) | 18.4721 | 0.611004 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.79837 | 0.158543 | ||||||||
\(917\) | 49.3063 | 1.62824 | ||||||||
\(918\) | −16.9522 | −0.559505 | ||||||||
\(919\) | −12.7639 | −0.421043 | −0.210522 | − | 0.977589i | \(-0.567516\pi\) | ||||
−0.210522 | + | 0.977589i | \(0.567516\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.0689 | 0.694243 | ||||||||
\(922\) | 28.2500 | 0.930365 | ||||||||
\(923\) | −21.7291 | −0.715223 | ||||||||
\(924\) | 3.52786 | 0.116058 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 30.4640 | 1.00111 | ||||||||
\(927\) | 20.8626 | 0.685216 | ||||||||
\(928\) | 1.13436 | 0.0372372 | ||||||||
\(929\) | −17.9656 | −0.589431 | −0.294715 | − | 0.955585i | \(-0.595225\pi\) | ||||
−0.294715 | + | 0.955585i | \(0.595225\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 36.8328 | 1.20715 | ||||||||
\(932\) | −0.239515 | −0.00784557 | ||||||||
\(933\) | −38.6813 | −1.26637 | ||||||||
\(934\) | 28.7984 | 0.942312 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 12.7639 | 0.417202 | ||||||||
\(937\) | 6.56664 | 0.214523 | 0.107261 | − | 0.994231i | \(-0.465792\pi\) | ||||
0.107261 | + | 0.994231i | \(0.465792\pi\) | |||||||
\(938\) | −19.8480 | −0.648059 | ||||||||
\(939\) | −34.2492 | −1.11768 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 54.3607 | 1.77211 | 0.886054 | − | 0.463583i | \(-0.153436\pi\) | ||||
0.886054 | + | 0.463583i | \(0.153436\pi\) | |||||||
\(942\) | −21.6376 | −0.704992 | ||||||||
\(943\) | 4.99899 | 0.162790 | ||||||||
\(944\) | 15.5279 | 0.505389 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.0689 | −0.327368 | ||||||||
\(947\) | −8.71560 | −0.283219 | −0.141610 | − | 0.989923i | \(-0.545228\pi\) | ||||
−0.141610 | + | 0.989923i | \(0.545228\pi\) | |||||||
\(948\) | −1.40215 | −0.0455396 | ||||||||
\(949\) | −44.0000 | −1.42830 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 37.7771 | 1.22501 | ||||||||
\(952\) | 44.3814 | 1.43841 | ||||||||
\(953\) | −8.59584 | −0.278447 | −0.139223 | − | 0.990261i | \(-0.544461\pi\) | ||||
−0.139223 | + | 0.990261i | \(0.544461\pi\) | |||||||
\(954\) | −18.4721 | −0.598057 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 2.76393 | 0.0893920 | ||||||||
\(957\) | 3.67086 | 0.118662 | ||||||||
\(958\) | −39.3084 | −1.27000 | ||||||||
\(959\) | 51.8885 | 1.67557 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.0000 | −0.870968 | ||||||||
\(962\) | 5.79155 | 0.186727 | ||||||||
\(963\) | −16.3709 | −0.527544 | ||||||||
\(964\) | 0.257354 | 0.00828882 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 8.14590 | 0.262090 | ||||||||
\(967\) | −6.44688 | −0.207318 | −0.103659 | − | 0.994613i | \(-0.533055\pi\) | ||||
−0.103659 | + | 0.994613i | \(0.533055\pi\) | |||||||
\(968\) | 20.7885 | 0.668169 | ||||||||
\(969\) | 66.8328 | 2.14698 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.81966 | −0.0583957 | −0.0291978 | − | 0.999574i | \(-0.509295\pi\) | ||||
−0.0291978 | + | 0.999574i | \(0.509295\pi\) | |||||||
\(972\) | 3.59685 | 0.115369 | ||||||||
\(973\) | −28.8313 | −0.924290 | ||||||||
\(974\) | −34.0902 | −1.09232 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −17.6738 | −0.565723 | ||||||||
\(977\) | 16.1771 | 0.517551 | 0.258775 | − | 0.965938i | \(-0.416681\pi\) | ||||
0.258775 | + | 0.965938i | \(0.416681\pi\) | |||||||
\(978\) | 42.0386 | 1.34425 | ||||||||
\(979\) | −17.2361 | −0.550867 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −20.3262 | −0.648967 | ||||||||
\(982\) | −15.6981 | −0.500945 | ||||||||
\(983\) | −41.9646 | −1.33846 | −0.669232 | − | 0.743054i | \(-0.733377\pi\) | ||||
−0.669232 | + | 0.743054i | \(0.733377\pi\) | |||||||
\(984\) | 38.8673 | 1.23904 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 4.87539 | 0.155264 | ||||||||
\(987\) | 3.79062 | 0.120657 | ||||||||
\(988\) | 4.53744 | 0.144355 | ||||||||
\(989\) | 3.11146 | 0.0989386 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.360680 | −0.0114574 | −0.00572869 | − | 0.999984i | \(-0.501824\pi\) | ||||
−0.00572869 | + | 0.999984i | \(0.501824\pi\) | |||||||
\(992\) | 2.65626 | 0.0843364 | ||||||||
\(993\) | 12.5062 | 0.396873 | ||||||||
\(994\) | −37.7771 | −1.19822 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −2.59675 | −0.0822811 | ||||||||
\(997\) | 23.5188 | 0.744848 | 0.372424 | − | 0.928063i | \(-0.378527\pi\) | ||||
0.372424 | + | 0.928063i | \(0.378527\pi\) | |||||||
\(998\) | 21.4896 | 0.680242 | ||||||||
\(999\) | 4.87539 | 0.154250 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))